本文研究一类具时滞和记忆项的非线性粘弹性波动方程的初边值问题.对初始条件、时滞项、记忆项、非线性源项和阻尼项附加适当的条件,利用凸性方法证明了能量解的爆破性,从而推广了已有文献的结果.
In this paper, a class of nonlinear viscoelastic wave equations with initial boundary value condition, delay and memory terms is considered. Under suitable conditions on the initial data, the delay term and the nonlinear damping and source terms, the blow-up in a finite time of energy of solutions is obtained. This extends earlier results in the literatures.